We can also determine the asymptotic behavior of the partial amplitudes
\(f_{I_{3}^{\prime },I_{3}}^{\left( m \right)}\left( p \right)\)  as \(\left|m\right|\rightarrow \infty \) .
Using known methods [1]} for the calculation of the Fourier
coefficients in the limit of large \(m\) , we obtain the corresponding asymptotic
forms of the Born partial amplitudes:
\(f_{\pm 1/2,\pm 1/2}^{\left( m\right) } &\sim &\sqrt{\pi /2}hr_{0}^{2}p^{-1/2}\left[ \left( \varepsilon +h\right) \left|m\mp \varkappa \right|^{-1}\right. \nonumber \\&&\left. -\left( \varepsilon -h\right) \left|m\mp \varkappa \pm 1 \right|^{-1}\right], \\f_{\pm 1/2,\mp 1/2}^{\left( m\right) } &\sim &\left( -1\right) ^{\varkappa }\sqrt{\pi /2}hr_{0}^{3}p^{3/2}\left|m\right|^{-3}\) 
